Ответ:

  1. \( -1\frac{13}{35} : \left(-3\frac{3}{5}\right)= -\frac{48}{35} : \left(-\frac{18}{5}\right)=\frac{48}{35}\cdot\frac{5}{18}=\frac{8}{21}\).
    Проверка: \(\frac{8}{21}\cdot\left(-\frac{18}{5}\right)=-\frac{48}{35}\).
  2. \( -8\frac{2}{5} : \left(-1\frac{1}{20}\right)= -\frac{42}{5} : \left(-\frac{21}{20}\right)=\frac{42}{5}\cdot\frac{20}{21}=8\).
    Проверка: \(8\cdot\left(-1\frac{1}{20}\right)=-8\frac{2}{5}\).
  3. \( -16,9:0,13=-130\).
    Проверка: \(-130\cdot0,13=-16,9\).
  4. \(470,4:(-0,084)=-5600\).
    Проверка: \(-5600\cdot(-0,084)=470,4\).

Ответ: 1) \(\frac{8}{21}\); 2) 8; 3) −130; 4) −5600.